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What is the Cartesian form of #(33,(3pi)/8)#?

Answer 1

Cameron Alexander

#(12.629, 30.488)#

We're given a polar coordinate and asked to find the Cartesian (rectangular) form of the coordinate.

We can picture this coordinate point like a vector, where #33# is its magnitude and #(3pi)/8# is the angle.

The #x#- and #y#-coordinates of this point are given by

#x = 33cos((3pi)/8) = color(red)(12.629#

#y = 33sin((3pi)/8) = color(blue)(30.488#

The Cartesian form of this polar coordinate is thus

#(color(red)(12.629), color(blue)(30.488))#

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Answer 2

William Abdalla

The Cartesian form of the point ((33, \frac{3\pi}{8})) is ((33\cos(\frac{3\pi}{8}), 33\sin(\frac{3\pi}{8}))), which simplifies to ((33\frac{\sqrt{2}}{2}, 33\frac{\sqrt{2}}{2})) or approximately ((23.3, 23.3)).

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Answer from HIX Tutor

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